Home / 401,760-589,518

Finding the Third Proportional to 401,760 and 589,518

Calculator

Solution

The third proportional to 401,760 and 589,518 is: 865,022.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,760 : 589,518 = 589,518 : x
  2. Step 2: Convert to fraction form
    401,760/589,518 = 589,518/x
  3. Step 3: Cross multiply
    401,760x = 589,518 × 589,518
  4. Step 4: Simplify right side
    401,760x = 347,531,472,324
  5. Step 5: Solve for x
    x = 347,531,472,324/401,760
  6. Step 6: Final answer
    x = 865,022.58

Related Problems

Find third proportional to 200,880 and 294,759
Half scale
Find third proportional to 803,520 and 1,179,036
Double scale
Find third proportional to 401,762 and 589,521
Similar ratio
Find third proportional to 602,640 and 884,277
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.